| Full text | |
| Author(s): |
Lappicy, Phillipo
;
Beatriz, Ester
Total Authors: 2
|
| Document type: | Journal article |
| Source: | MATHEMATISCHE ANNALEN; v. 389, n. 4, p. 23-pg., 2023-11-05. |
| Abstract | |
Energy (or Lyapunov) functions are used to prove stability of equilibria, or to indicate a gradient-like structure of a dynamical system. Matano constructed a Lyapunov function for quasilinear non-degenerate parabolic equations. We modify Matano's method to construct an energy formula for fully nonlinear degenerate parabolic equations. We provide several examples of formulae, and in particular, a new energy candidate for the porous medium equation. (AU) | |
| FAPESP's process: | 23/07941-7 - Global attractors in Horava-Lifshitz cosmologies. |
| Grantee: | Ester Beatriz de Souza dos Santos |
| Support Opportunities: | Scholarships in Brazil - Master |
| FAPESP's process: | 17/07882-0 - Einstein constraints and differential equations on the sphere |
| Grantee: | Phillipo Lappicy Lemos Gomes |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |